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This paper includes two parts. The first is to present the spectral energydistributions (SEDs) of 49 globular cluster (GC) X-ray sources in the BATC 13intermediate-band filters from 3800 to 10000 A, and identify 8 unidentifiedX-ray sources in M31. Using the X-ray data of Einstein observation from 1979 to1980, ROSAT HRI observation in 1990, Chandra HRC and ACIS-I observations from1999 to 2001, and the BATC optical survey from 1995 to 1999, we find 49 GCX-ray sources and 8 new unidentified X-ray sources in the BATC M31 field. Byanalyzing SEDs and FWHMs, 4 of the 8 X-ray sources may be GC candidates. Thesecond is to present some statistical relationships about 62 GC X-ray sources,of which 58 are already known, and 4 are identified in this paper. Thedistribution of M31 GC X-ray sources' V mags is bimodal, with peaks at m_v =15.65 and m_v = 17.89, which is different from the distribution of GCcandidates. The distribution of B-V color shows that,the GC X-ray sources seemto be associated preferentially with the redder GCs, in agreement with theprevious results. Kolmogorov-Smirnov test shows that the maximum value of theabsolute difference of B-V distributions of GC X-ray sources and GCs isD_{max}=0.181, and the probability P=0.068 which means we can reject thehypothesis that the two distributions are the same at the 90.0% confidencelevel. In the end, we study the correlation between X-ray luminosity (0.3-10keV) and the optical luminosity (in V band) of the GC X-ray sources in M31, andfind that there exits a weak relationship with the linear correlationcoefficient r = 0.36 at the confidence level of 98.0%.Comment: Accepted for publication in the November 2005 issue of the PASP. 19  pages, 8 figures including 2 jpg figure

Identification of X‐Ray Point Sources and a Study of the Nature of 62 X‐Ray Globular Cluster Candidates in M31